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Finding the Fourth Proportional to 24,372.50, 33,634.06 and 13,194.50

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Solution

The fourth proportional to 24,372.50, 33,634.06 and 13,194.50 is: 18,208.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,372.50 : 33,634.06 = 13,194.50 : x
  2. Step 2: Convert to fraction form
    24,372.50/33,634.06 = 13,194.50/x
  3. Step 3: Cross multiply
    24,372.50x = 33,634.06 × 13,194.50
  4. Step 4: Simplify right side
    24,372.50x = 443,784,538.70
  5. Step 5: Solve for x
    x = 443,784,538.70/24,372.50
  6. Step 6: Final answer
    x = 18,208.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.